Questions and Answers
What are adjacent angles?
Two angles that share a side, vertex, and no interior points; two angles that are 'beside' each other.
If the measure of Angle 1 is 145 then Angle 2 is __________ degrees.
35
If the measure of Angle 2 is 70 then Angle 4 is __________ degrees.
110
Complementary angles add up to __________ degrees.
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Supplementary angles add up to __________ degrees.
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What does a straight line mean?
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What is an acute angle?
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What is an obtuse angle?
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What is a straight angle?
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What is a right angle?
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What is the complement of an angle that measures 42 degrees?
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What is the supplement of an angle that measures 95 degrees?
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Find the complement and supplement of an angle that measures 75 degrees.
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Find the complement of the angle that measures 44 degrees.
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Find the supplement of the angle that measures 124 degrees.
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Find the complement and supplement of the angle that measures 85 degrees.
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Find the complementary angle of an angle with a measure of 29 degrees.
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Find the supplementary angle of the given angle whose measure is 99 degrees.
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Find the complementary angle of an angle with a measure of 25 degrees.
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Find the complement and supplement of the angle that measures 55 degrees.
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Find the complement and supplement of the angle that measures 66 degrees.
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Find the complement and supplement of the angle that measures 23 degrees.
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Study Notes
Angle Definitions and Types
- Adjacent Angles: Two angles that share a common vertex and side, with no interior points overlapping.
- Complementary Angles: A pair of angles that together sum up to 90 degrees.
- Supplementary Angles: A pair of angles that together sum up to 180 degrees.
Specific Angle Measurements
- If Angle 1 measures 145 degrees, then Angle 2 is 35 degrees because 180 - 145 = 35.
- If Angle 2 measures 70 degrees, then Angle 4 is 110 degrees because 180 - 70 = 110.
Types of Angles Explained
- Acute Angle: Measures less than 90 degrees.
- Obtuse Angle: Measures greater than 90 degrees but less than 180 degrees.
- Straight Angle: Measures exactly 180 degrees.
- Right Angle: Measures exactly 90 degrees.
Complement and Supplement Calculations
- The complement of an angle measuring 42 degrees is 48 degrees (90 - 42).
- The supplement of an angle measuring 95 degrees is 85 degrees (180 - 95).
- For an angle measuring 75 degrees: its complement is 15 degrees and its supplement is 105 degrees.
- The complement of an angle that is 44 degrees is 46 degrees (90 - 44).
- The supplement of an angle measuring 124 degrees is 56 degrees (180 - 124).
Additional Angle Calculations
- The complementary angle of a 29-degree angle is 61 degrees (90 - 29).
- The supplementary angle of a 99-degree angle is 81 degrees (180 - 99).
- For a 25-degree angle, the complementary angle is 65 degrees (90 - 25).
- For an angle measuring 55 degrees: its complement is 35 degrees and its supplement is 125 degrees.
- An angle measuring 66 degrees has a complement of 24 degrees and a supplement of 114 degrees.
- For an angle measuring 23 degrees: its complement is 67 degrees and its supplement is 157 degrees.
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Test your knowledge on complementary, supplementary, and adjacent angles with these flashcards. Each card presents definitions and challenges for angle calculations. Perfect for students looking to reinforce their understanding of basic geometry.